Schmidt number of pure states in bipartite quantum systems as an algebraic-geometric invariant

Hao Chen

Published 2001-08-08, updated 2001-08-12Version 2

Our previous work about algebraic-geometric invariants of the mixed states are extended and a stronger separability criterion is given. We also show that the Schmidt number of pure states in bipartite quantum systems, a classical concept, is actually an algebraic-geometric invariant.